Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 440/668,5974/477
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 440,5974
Greatest Common Factor of Numerators i.e. GCF of 440,5974 is 2 .
LCM of Denominators means LCM of 668,477 as per the given fractions.
LCM of 668,477 is 318636 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 440,5974
2 | 440, 5974 |
220, 2987 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 440
List of positive integer factors of 440 that divides 440 without a remainder.
1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Factors of 5974
List of positive integer factors of 5974 that divides 5974 without a remainder.
1,2,29,58,103,206,2987,5974
Greatest Common Factor
We found the factors 440,5974 . The biggest common factor number is the GCF number.
So the greatest common factor 440,5974 is 2.
Lets's calculate LCM of 668,477
Given numbers has no common factors except 1. So, there LCM is their product i.e 318636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/318636
Therefore, the GCF of Fractions 440/668,5974/477 is 2/318636
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 668,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(668,477) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(668,477) x common factors =1 x 1 = 1
LCM(668,477) = ( 668 × 477 ) / 1
LCM(668,477) = 318636 / 1
LCM(668,477) = 318636
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 440/668, 5974/477?
Answer: GCF of Numerators as per given numbers 440/668, 5974/477 is
GCF of Numerators i.e. for 440,5974 is 2
LCM of denominators i.e. for 668,477 is 318636.
Thus, GCF of Fractions is 2/318636.Finally, GCF of Fractions for 440/668, 5974/477 is 2/318636.